Question

How do you solve `9n ^ { 6} - 6561n ^ { 3} = 0`?

Answer 1

`n=0 or n=9`

Explanation:

`9n^6-6561n^3=0`

Let's start by factoring the left side

`9n^3(n-9)(n^2+9n+81)=0`

Then all we have to do is set factors equal to `0`

`9n^3 = 0 or n-9=0 or n^2 +9n+81=0`

`n=0 or n=9`